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Differential Equations operators

5 operators in the differential_equations category of the live registry. Compose them in a contract or call POST /api/zeq/computeKO42 is always on, plus up to three more per call.

How it computes: no dedicated closed form — solveGeneric tries ~16 universal formulas, then integrates the master equation (RK4) and returns a real, deterministic value with a transparent NUMERICAL FALLBACK disclosure.

OperatorDescriptionEquation
DCS_AWZeq synchronization angular frequency operator at the 1.287 Hz pulse rate.\Omega_{sync}^{(564)} = 2\pi \cdot 1.287
DE_ODEGeneral first-order ODE initial value problem: standard form for numerical integration.\frac{dy}{dx} = f(x, y), \quad y(x_0) = y_0
DE_PDEZeq resonance wavefunction governed by a PDE with HulyaPulse time dependence.\Psi_{570} = \phi \cdot e^{i\omega_{1.287}t}
DE_SYSSystem of first-order linear ODEs: matrix form for coupled differential equations.\frac{d\vec{y}}{dt} = A\vec{y} + \vec{b}(t)
DESO6Sixth-order linear ODE with variable coefficients and forcing function.\frac{d^6y}{dx^6} + \sum_{k=0}^5 a_k \frac{d^ky}{dx^k} = f(x)

Compute one — a real call

Ask the operator which inputs it needs (the honesty contract refuses empty inputs rather than inventing them):

curl -sS -X POST https://zeqsdk.com/api/zeq/operator-spec \
-H "Content-Type: application/json" \
-d '{"operator":"DCS_AW"}'

See also